18440402652000 has 2880 divisors, whose sum is σ = 83764404884160. Its totient is φ = 3950456832000.

The previous prime is 18440402651963. The next prime is 18440402652047. The reversal of 18440402652000 is 25620404481.

18440402652000 is a `hidden beast` number, since 1 + 8 + 4 + 40 + 402 + 6 + 5 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34085771730 + ... + 34085772270.

It is an arithmetic number, because the mean of its divisors is an integer number (29084862807).

Almost surely, 2^{18440402652000} is an apocalyptic number.

18440402652000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18440402652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41882202442080).

18440402652000 is an abundant number, since it is smaller than the sum of its proper divisors (65324002232160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18440402652000 is a wasteful number, since it uses less digits than its factorization.

18440402652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 18440402652000 in words is "eighteen trillion, four hundred forty billion, four hundred two million, six hundred fifty-two thousand".